Results 281 to 290 of about 272,972 (308)

The power graph of a finite group

Discrete Mathematics, 2011
The power graph of a group is the graph whose vertex set is the group, two elements being adjacent if one is a power of the other. We observe that non-isomorphic finite groups may have isomorphic power graphs, but that finite abelian groups with ...
Peter J Cameron, Shamik Ghosh
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Coloring Powers of Planar Graphs

SIAM Journal on Discrete Mathematics, 2003
Summary: We give nontrivial bounds for the inductiveness or degeneracy of power graphs \(G^{k}\) of a planar graph \(G\). This implies bounds for the chromatic number as well, since the inductiveness naturally relates to a greedy algorithm for vertex-coloring the given graph.
Geir Agnarsson, Magnús M. Halldórsson
openaire   +4 more sources

Graphs whose powers are chordal and graphs whose powers are interval graphs

Journal of Graph Theory, 1997
The main theorem of this paper gives a forbidden induced subgraph condition on \(G\) that is sufficient for chordality of \(G^m\). This theorem is a generalization of a theorem of Balakrishnan and Paulraja who had provided this only for \(m=2\).
openaire   +2 more sources

Power graphs

J. Inf. Process. Cybern., 1994
Summary: Graphs with vertex set \(V\) can be ``lifted'' to the power set \(V^\#= {\mathcal P}(V)\backslash \{\varnothing\}\). In this paper graphs and their properties, in particular automorphisms and isomorphisms, are studied with respect to this power construction.
Ulrike Baumann, Reinhard Pöschel, Irmgard Schmeichel   +2 more
openaire   +1 more source

The Chromatic Number of Graph Powers

Combinatorics, Probability and Computing, 2002
It is shown that the maximum possible chromatic number of the square of a graph with maximum degree d and girth g is (1 +o(1))d2 if g = 3, 4, 5 or 6, and is Θ(d2 / log d) if g [ges ] 7. Extensions to higher powers are considered as well.
Noga Alon, Bojan Mohar
openaire   +2 more sources

Unleashing the Power of Information Graphs

ACM SIGMOD Record, 2015
Information graphs are generic graphs that model different types of information through nodes and edges. Knowledge graphs are the most common type of information graphs in which nodes represent entities and edges represent relationships among them.
Matteo Lissandrini, Davide Mottin, Themis Palpanas, Dimitra Papadimitriou, Yannis Velegrakis   +4 more
openaire   +2 more sources

Powers of graphs

Proceedings of the sixteenth annual ACM symposium on Theory of computing - STOC '84, 1984
In this paper we investigate a powerful, and yet simple, technique for devising approximation algorithms for a wide variety of NP-complete problems in routing, location, and communication network design. Each of the algorithms presented here delivers an approximate solution guaranteed to be within a constant factor of the optimal solution. In addition,
Dorit S. Hochbaum, David B. Shmoys
openaire   +1 more source

Coloring Powers of Chordal Graphs

SIAM Journal on Discrete Mathematics, 2004
Summary: We prove that the \(k\)th power \(G^{k}\) of a chordal graph \(G\) with maximum degree \(\Delta\) is \(O(\sqrt{k}\Delta^{(k+1)/2})\)-degenerate for even values of \(k\) and \(O(\Delta^{(k+1)/2})\)-degenerate for odd values. In particular, this bounds the chromatic number \(\chi(G^k)\) of the \(k\)th power of \(G\).
openaire   +1 more source

Comparing the Power of Games on Graphs

Mathematical Logic Quarterly, 1997
AbstractThe descriptive complexity of a problem is the complexity of describing the problem in some logical formalism. One of the few techniques for proving separation results in descriptive complexity is to make use of games on graphs played between two players, called the spoiler and the duplicator. There are two types of these games, which differ in
openaire   +1 more source

Multi-Meteorological-Factor-Based Graph Modeling for Photovoltaic Power Forecasting

IEEE Transactions on Sustainable Energy, 2021
Lilin Cheng, Haixiang Zang, Tao Ding
exaly